Lecture Notes 1 Microeconomic hypothesis Guoqiang TIAN Department of political economy Texas A&M University College Station, Texas 77843 (gtian@tamu.edu) August, 2002/Revised: December 2011 1 This stir notes are only for the end of my t separatelying and convenience of my students in class, but not for any different purpose. It is greatly acknowledge that some materials are drawn from the references in the end of each charter. Contents 1 Preliminaries on Modern economic attainment and Mathematics 1.1 Nature of Modern economics . . . . . . . . . . . . . . . . . . . . . . . . . 1.1.1 1.1.2 1.1.3 1.1.4 1.1.5 1.1.6 1.1.7 1.1.8 Modern economic science and Economic surmisal . . . . . . . . . . . . . . Key Assumptions and Desired Properties Commonly operate economics The Basic Analytical Framework of Modern Economics . . . . . . . Methodologies for Studying Modern Economics . . . . . . . . . . . Roles, Generality, and Limitation of Economic Theory . . . . . . . 1 1 1 3 4 6 8 Roles of Mathematics in Modern Economics . . . . . . . . . . . . . 10 diversity amid Economic and Mathematical run-ins . . . . 11 Distinguish amid Necessary and Su?cient Conditions as well Normative and Positive Statements . . . . . . . . . . . . . . . . . . 11 1.2 Language and Methods of Mathematics . . . . . . . . . . . . .

. . . . . . . 12 1.2.1 1.2.2 1.2.3 1.2.4 1.2.5 1.2.6 1.2.7 1.2.8 Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 Separating Hyperplane Theorem . . . . . . . . . . . . . . . . . . . . 14 dish-shaped and bulbous Functions . . . . . . . . . . . . . . . . . . . . 14 Optimization . . . . . . ! . . . . . . . . . . . . . . . . . . . . . . . . 16 The Envelope Theorem . . . . . . . . . . . . . . . . . . . . . . . . . 19 manoeuvre-to-Set Mappings . . . . . . . . . . . . . . . . . . . . . . . . . 21 Continuity of a Maximum . . . . . . . . . . . . . . . . . . . . . . . 25 stiff Point Theorems . . . . . . . . . . . . . . . . . . . . . . . . . 26 I Individual Decision...If you want to have got a full essay, differentiate it on our website:
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